2023
Continuity of the non-convex play operator in the space of rectifiable curves
KOPFOVÁ, Jana and Vincenzo RECUPEROBasic information
Original name
Continuity of the non-convex play operator in the space of rectifiable curves
Authors
KOPFOVÁ, Jana (703 Slovakia, belonging to the institution) and Vincenzo RECUPERO (380 Italy, guarantor)
Edition
Applications of Mathematics, Springer Science and Business Media Deutschland GmbH, 2023, 0862-7940
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10102 Applied mathematics
Country of publisher
United Kingdom of Great Britain and Northern Ireland
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 0.600
RIV identification code
RIV/47813059:19610/23:A0000137
Organization unit
Mathematical Institute in Opava
EID Scopus
2-s2.0-85175636136
Keywords in English
evolution variational inequalities; functions of bounded variation; play operator; prox-regular set; sweeping processes
Tags
Tags
International impact, Reviewed
Changed: 27/3/2024 14:35, Mgr. Aleš Ryšavý
Abstract
In the original language
We prove that the vector play operator with a uniformly prox-regular characteristic set of constraints is continuous with respect to the BV-norm and to the BV-strict metric in the space of rectifiable curves, i.e., in the space of continuous functions of bounded variation. We do not assume any further regularity of the characteristic set. We also prove that the non-convex play operator is rate independent.